English

Quasiminimality of complex powers

Logic 2024-12-18 v2

Abstract

The complex field, equipped with the multivalued functions of raising to each complex power, is quasiminimal, proving a conjecture of Zilber and providing evidence towards his stronger conjecture that the complex exponential field is quasiminimal.

Keywords

Cite

@article{arxiv.2304.06450,
  title  = {Quasiminimality of complex powers},
  author = {Francesco Gallinaro and Jonathan Kirby},
  journal= {arXiv preprint arXiv:2304.06450},
  year   = {2024}
}

Comments

35 pages

R2 v1 2026-06-28T10:04:18.472Z